<span><span><span><span><span><span><span><span><span><span><span><span><span>this is the answer(</span></span><span><span><span><span>4</span></span><span><span /></span><span><span><span><span>x</span></span></span><span><span><span>2</span></span></span></span></span></span><span><span>)</span></span></span></span><span><span><span>2
</span></span></span></span></span></span></span></span></span></span></span></span><span>4x22</span>
Answer:
I this that its the third graph
By Green's theorem, the integral of 
along 
is
which is 6 times the area of 
, the region with as its boundary.
We can compute the integral by converting to polar coordinates, or simply recalling the formula for a circular sector from geometry: Given a sector with central angle 
and radius 
, the area 
of the sector is proportional to the circle's overall area according to
so that the value of the integral is
The expectation would be that the player would not get much money. 3, 4, 5, 6, 8, 9, 10, and 11 does not get a lot due to the entrance fee of $3. 20 - 3 = 17. 5 - 3 = 2.
I think you forgot to put a picture in..
